GCD of 119, 714, 916 Calculator

Given Input numbers are 119, 714, 916

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 119

List of positive integer divisors of 119 that divides 119 without a remainder.

1, 7, 17, 119

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Greatest Common Divisior

We found the divisors of 119, 714, 916 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 119, 714, 916 is 1.

Therefore, GCD of numbers 119, 714, 916 is 1

Given Input Data is 119, 714, 916

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 119 is 7 x 17

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 916 is 2 x 2 x 229

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(119, 714) = 714

GCD(119, 714) = ( 119 x 714 ) / 714

GCD(119, 714) = 84966 / 714

GCD(119, 714) = 119

Step2:

Here we consider the GCD from the above i.e. 119 as first number and the next as 916

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(119, 916) = 109004

GCD(119, 916) = ( 119 x 916 ) / 109004

GCD(119, 916) = 109004 / 109004

GCD(119, 916) = 1

GCD of 119, 714, 916 is 1

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1. What is the GCD of 119, 714, 916?

GCD of 119, 714, 916 is 1

2. Where do I get the detailed procedure to find GCD of 119, 714, 916?

You can find a detailed procedure to find GCD of 119, 714, 916 on our page.

3. How to find GCD of 119, 714, 916 on a calculator?

You can find the GCD of 119, 714, 916 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.